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Simplifying -4(3 + -1x) + -1(-3 + -5x) = -1 + x (3 * -4 + -1x * -4) + -1(-3 + -5x) = -1 + x (-12 + 4x) + -1(-3 + -5x) = -1 + x -12 + 4x + (-3 * -1 + -5x * -1) = -1 + x -12 + 4x + (3 + 5x) = -1 + x Reorder the terms: -12 + 3 + 4x + 5x = -1 + x Combine like terms: -12 + 3 = -9 -9 + 4x + 5x = -1 + x Combine like terms: 4x + 5x = 9x -9 + 9x = -1 + x Solving -9 + 9x = -1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -9 + 9x + -1x = -1 + x + -1x Combine like terms: 9x + -1x = 8x -9 + 8x = -1 + x + -1x Combine like terms: x + -1x = 0 -9 + 8x = -1 + 0 -9 + 8x = -1 Add '9' to each side of the equation. -9 + 9 + 8x = -1 + 9 Combine like terms: -9 + 9 = 0 0 + 8x = -1 + 9 8x = -1 + 9 Combine like terms: -1 + 9 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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